52800100 has 18 divisors (see below), whose sum is σ = 114576434. Its totient is φ = 21120000.

The previous prime is 52800089. The next prime is 52800133. The reversal of 52800100 is 100825.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7963684 + 44836416 = 2822^2 + 6696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263901 + ... + 264100.

Almost surely, 2^52800100 is an apocalyptic number.

52800100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52800100 is an abundant number, since it is smaller than the sum of its proper divisors (61776334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52800100 is a wasteful number, since it uses less digits than its factorization.

52800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528015 (or 528008 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 52800100 is about 7266.3677308543. The cubic root of 52800100 is about 375.1557279138.

Adding to 52800100 its reverse (100825), we get a palindrome (52900925).

It can be divided in two parts, 52800 and 100, that added together give a square (52900 = 230²).

The spelling of 52800100 in words is "fifty-two million, eight hundred thousand, one hundred".